{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ARUKNLE6XB7FCTZHK2QB5VW4HC","short_pith_number":"pith:ARUKNLE6","canonical_record":{"source":{"id":"1406.5365","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-20T12:25:17Z","cross_cats_sorted":[],"title_canon_sha256":"211121668a13f271773c09e0420f298d336b0fbac2400fae7030ba01688bc5a7","abstract_canon_sha256":"397c2c677d939f2f91c352eca348141058630dac0f7aaa61f05c4cf6c9199d7f"},"schema_version":"1.0"},"canonical_sha256":"0468a6ac9eb87e514f2756a01ed6dc38b5826d4d00299dc4143ad407e2a6b390","source":{"kind":"arxiv","id":"1406.5365","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5365","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5365v5","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5365","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"pith_short_12","alias_value":"ARUKNLE6XB7F","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ARUKNLE6XB7FCTZH","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ARUKNLE6","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ARUKNLE6XB7FCTZHK2QB5VW4HC","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5365","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-20T12:25:17Z","cross_cats_sorted":[],"title_canon_sha256":"211121668a13f271773c09e0420f298d336b0fbac2400fae7030ba01688bc5a7","abstract_canon_sha256":"397c2c677d939f2f91c352eca348141058630dac0f7aaa61f05c4cf6c9199d7f"},"schema_version":"1.0"},"canonical_sha256":"0468a6ac9eb87e514f2756a01ed6dc38b5826d4d00299dc4143ad407e2a6b390","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:40.312550Z","signature_b64":"uzynwR17ewlVmMUex0qWLFEWIa3cajQRauAahVa93MHBTpuRGjIxrwqVeObKihErwi8wDnavVGKuDNE7QurFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0468a6ac9eb87e514f2756a01ed6dc38b5826d4d00299dc4143ad407e2a6b390","last_reissued_at":"2026-05-18T02:25:40.312088Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:40.312088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5365","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:25:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QQ1ovv6qn8oa29sMSHAun5XVbwh3sZd5C1ZCPcWQ8RBoNvrs2jqT8EAuVo5vKfwsAlmGkRHGBj6rsDVYZab1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:26:55.299653Z"},"content_sha256":"02c79aa790995b85ea4c322ca1a3f205f4a838fd78da34521efe24a2d3f2a422","schema_version":"1.0","event_id":"sha256:02c79aa790995b85ea4c322ca1a3f205f4a838fd78da34521efe24a2d3f2a422"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ARUKNLE6XB7FCTZHK2QB5VW4HC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of Algebraic Function Fields with Class Number One","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Claudio Stirpe, Pietro Mercuri","submitted_at":"2014-06-20T12:25:17Z","abstract_excerpt":"In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite fields with class number one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5365","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:25:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wdzvTTq3X5qSeF9uJaEEGJEDG6YdAt/OaYSq7mdKF+r15C6EBWATx0akQ8hr30nU+nbbEreQBXIVl8EeL27aCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:26:55.300292Z"},"content_sha256":"ba0525a12e631f5ba1a2efde12d0f78f700d3f5c156d3ec266433478361572a0","schema_version":"1.0","event_id":"sha256:ba0525a12e631f5ba1a2efde12d0f78f700d3f5c156d3ec266433478361572a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ARUKNLE6XB7FCTZHK2QB5VW4HC/bundle.json","state_url":"https://pith.science/pith/ARUKNLE6XB7FCTZHK2QB5VW4HC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ARUKNLE6XB7FCTZHK2QB5VW4HC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T02:26:55Z","links":{"resolver":"https://pith.science/pith/ARUKNLE6XB7FCTZHK2QB5VW4HC","bundle":"https://pith.science/pith/ARUKNLE6XB7FCTZHK2QB5VW4HC/bundle.json","state":"https://pith.science/pith/ARUKNLE6XB7FCTZHK2QB5VW4HC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ARUKNLE6XB7FCTZHK2QB5VW4HC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ARUKNLE6XB7FCTZHK2QB5VW4HC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"397c2c677d939f2f91c352eca348141058630dac0f7aaa61f05c4cf6c9199d7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-20T12:25:17Z","title_canon_sha256":"211121668a13f271773c09e0420f298d336b0fbac2400fae7030ba01688bc5a7"},"schema_version":"1.0","source":{"id":"1406.5365","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5365","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5365v5","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5365","created_at":"2026-05-18T02:25:40Z"},{"alias_kind":"pith_short_12","alias_value":"ARUKNLE6XB7F","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ARUKNLE6XB7FCTZH","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ARUKNLE6","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:ba0525a12e631f5ba1a2efde12d0f78f700d3f5c156d3ec266433478361572a0","target":"graph","created_at":"2026-05-18T02:25:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite fields with class number one.","authors_text":"Claudio Stirpe, Pietro Mercuri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-20T12:25:17Z","title":"Classification of Algebraic Function Fields with Class Number One"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5365","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:02c79aa790995b85ea4c322ca1a3f205f4a838fd78da34521efe24a2d3f2a422","target":"record","created_at":"2026-05-18T02:25:40Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"397c2c677d939f2f91c352eca348141058630dac0f7aaa61f05c4cf6c9199d7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-06-20T12:25:17Z","title_canon_sha256":"211121668a13f271773c09e0420f298d336b0fbac2400fae7030ba01688bc5a7"},"schema_version":"1.0","source":{"id":"1406.5365","kind":"arxiv","version":5}},"canonical_sha256":"0468a6ac9eb87e514f2756a01ed6dc38b5826d4d00299dc4143ad407e2a6b390","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0468a6ac9eb87e514f2756a01ed6dc38b5826d4d00299dc4143ad407e2a6b390","first_computed_at":"2026-05-18T02:25:40.312088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:40.312088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uzynwR17ewlVmMUex0qWLFEWIa3cajQRauAahVa93MHBTpuRGjIxrwqVeObKihErwi8wDnavVGKuDNE7QurFBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:40.312550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5365","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02c79aa790995b85ea4c322ca1a3f205f4a838fd78da34521efe24a2d3f2a422","sha256:ba0525a12e631f5ba1a2efde12d0f78f700d3f5c156d3ec266433478361572a0"],"state_sha256":"54da73a42dc55bc3813420ce49d63e90fe0cfffa7d81c6770bb5da3a9c402d71"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5dIMuWYdAxLGnpZB6k10gGGdQcqoqdVi3rQ6bTFKw25KMgsFwIm9spgLRzcFUreSNmeXMxih8tjUyhhS2T8Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T02:26:55.303453Z","bundle_sha256":"f96c9028537e881ff278309f01b055956aff7143b88f1d6342a821e90163af16"}}